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Ui a e ?

00Over a concentric cylinder, external or internal, of radius r=b, 4,'=4,+ Uly =[U I - + Ui]y, (4) and 4" is zero if U 1 /U = (a 2 - b2)/b 2; (5) so that the cylinder may swim for an instant in the liquid without distortion, with this velocity Ui; and w in (I) will give the liquid motion in the interspace between the fixed cylinder r =a and the concentric cylinder r=b, moving with velocity U1.

00When the cylinder r =a is moved with velocity U and r =b with velocity U 1 along Ox, = U b e - a,1 r +0 cos 0 - U ib2 - 2 a, (r +Q 2 ') cos 0, = - U be a2 a2 (b 2 - r) sin 0 - Uib2 b1)a, (r - ¢2 sin 0; b and similarly, with velocity components V and V 1 along Oy a 2 b2 ?= Vb,_a,(r+r) sin g -Vi b, b2 a, (r+ 2) sin 0, (17) = V b, a2 a, (b2 r) cos 0+Vi b, b, a, (r- ¢ 2) cos h; (18) and then for the resultant motion z 2zz w= (U 2 + V2)b2a a2U+Vi +b a b a2 U z Vi -(U12+V12) b2 z a2b2 Ui +VIi b 2 - a 2 U1 +Vii b 2 - a 2 z The resultant impulse of the liquid on the cylinder is given by the component, over r=a (§ 36), X =f p4 cos 0.ad0 =7rpa 2 (U b z 2 + a 2 Uib.2bz a2); (20) and over r =b Xi= fp?

00The data are then either the bounding ordinates uo, ui, ...

00ui 3,.

00or ui,o, a o,

00The trapezette is then a right trapezium, and its area, if m=l, is 2h(uo + ui) or hug.

00Hence, if the angle which the tangent at the extremity of the ordinate u 0 makes with the axis of x is denoted by fie, we have area from uo to u1= 2h(uo + ui) - -- i i h 2 (tan y l - tan t u 2 = Wu ' + u2) - 1 Tih 2 (tan 4,2 - tan um-1 t0 26 m, - 2 h(um-1 + um) i h (tan 4, m - and thence, by summation, A =C I - i i h 2 (tan - tan 1,1/o).

00The calculation of the expressions in brackets may be simplified by taking the pairs in terms from the outside; by finding the successive differences of uo + um, ill + um_l, ..., or of uI u i +umi, ..

00It was at this stage that the language spread in Lahul and Spiti, where the superscribed letters were silent, the d and g finals were hardly heard, and as, os, us were ai, oi, ui.

00The vowel sounds ai, oi, ui have become e, o, u; and a, o, u before the finals d and n are now et, o, ii.

00the positive directions of the axes are assumed to be so arranged that a positive rotation of 90 about Ox would bring Oy into the position of UI, and so on.

00where Ui is the velocity of projection.

00If two masses m1, nil moving in the same straight line impinge, with the result that the velocities are changed from u1, u2, to ui, ui, then, since the impulses on the two bodies must be equal and opposite, the total momentum is unchanged, i.e.

00uf Ui = (u2 u1), (40) (i.e.

00Military Gate Gate of 3rd.1121ltary Gate t ol '-ynegion ' ':Savrour ' _gala angan'- --ar,ui {hog s protected the city on the west down to the Golden Horn.

00Brian and Fiachra, sons of Eochaid Muigmed61n, conquered for themselves the country of the Ui Briuin (Roscommon, Leitrim, Cavan) and Tir Fiachrach, the territory of the Firbolg tribe the Fir Domnann in the valley of the Moy (Co.

00Somewhat later south Connaught was similarly wrested from the older race and colonized by descendants of Brian and Fiachra, later known as Ui Fiachrach Aidni and Ui Briuin Seola.

00But Philip in his turn nearly allowed himself to be led into an attempt at annexing England, and so reversing for his own benefit the work of the Angevins (1213); but, happily for the future of the dynasty, Pope Innocent UI.

00Height fall in ui feet.

00The UI will install a default caret unless a customized caret has been set.

00Details TWiki:Main.CrawfordCurrie TWiki:Main.SvenDowideit UI: Topic diff shows unified diff with unchanged context.

00This makes single inheritance particularly ill-suited to UI frameworks.

00Services which do not provide any UI should return null.

00Ui a e ?

0013 r qn ui, c It is generally possible so to arrange the method of observation as to eliminate the effect of an error in " the reading for coincidence of the webs " from the results.

00Over a concentric cylinder, external or internal, of radius r=b, 4,'=4,+ Uly =[U I - + Ui]y, (4) and 4" is zero if U 1 /U = (a 2 - b2)/b 2; (5) so that the cylinder may swim for an instant in the liquid without distortion, with this velocity Ui; and w in (I) will give the liquid motion in the interspace between the fixed cylinder r =a and the concentric cylinder r=b, moving with velocity U1.

00When the cylinder r =a is moved with velocity U and r =b with velocity U 1 along Ox, = U b e - a,1 r +0 cos 0 - U ib2 - 2 a, (r +Q 2 ') cos 0, = - U be a2 a2 (b 2 - r) sin 0 - Uib2 b1)a, (r - ¢2 sin 0; b and similarly, with velocity components V and V 1 along Oy a 2 b2 ?= Vb,_a,(r+r) sin g -Vi b, b2 a, (r+ 2) sin 0, (17) = V b, a2 a, (b2 r) cos 0+Vi b, b, a, (r- ¢ 2) cos h; (18) and then for the resultant motion z 2zz w= (U 2 + V2)b2a a2U+Vi +b a b a2 U z Vi -(U12+V12) b2 z a2b2 Ui +VIi b 2 - a 2 U1 +Vii b 2 - a 2 z The resultant impulse of the liquid on the cylinder is given by the component, over r=a (§ 36), X =f p4 cos 0.ad0 =7rpa 2 (U b z 2 + a 2 Uib.2bz a2); (20) and over r =b Xi= fp?

00The data are then either the bounding ordinates uo, ui, ...

00ui 3,.

00or ui,o, a o,

00The trapezette is then a right trapezium, and its area, if m=l, is 2h(uo + ui) or hug.

00Hence, if the angle which the tangent at the extremity of the ordinate u 0 makes with the axis of x is denoted by fie, we have area from uo to u1= 2h(uo + ui) - -- i i h 2 (tan y l - tan t u 2 = Wu ' + u2) - 1 Tih 2 (tan 4,2 - tan um-1 t0 26 m, - 2 h(um-1 + um) i h (tan 4, m - and thence, by summation, A =C I - i i h 2 (tan - tan 1,1/o).

00The calculation of the expressions in brackets may be simplified by taking the pairs in terms from the outside; by finding the successive differences of uo + um, ill + um_l, ..., or of uI u i +umi, ..

00It was at this stage that the language spread in Lahul and Spiti, where the superscribed letters were silent, the d and g finals were hardly heard, and as, os, us were ai, oi, ui.

00The vowel sounds ai, oi, ui have become e, o, u; and a, o, u before the finals d and n are now et, o, ii.

00the positive directions of the axes are assumed to be so arranged that a positive rotation of 90 about Ox would bring Oy into the position of UI, and so on.

00where Ui is the velocity of projection.

00If two masses m1, nil moving in the same straight line impinge, with the result that the velocities are changed from u1, u2, to ui, ui, then, since the impulses on the two bodies must be equal and opposite, the total momentum is unchanged, i.e.

00uf Ui = (u2 u1), (40) (i.e.

00This new method enabled the printers IIIC3'?ui:"'??N i i !4? ???;h l ' '? ? ? ? ?

00Military Gate Gate of 3rd.1121ltary Gate t ol '-ynegion ' ':Savrour ' _gala angan'- --ar,ui {hog s protected the city on the west down to the Golden Horn.

00Brian and Fiachra, sons of Eochaid Muigmed61n, conquered for themselves the country of the Ui Briuin (Roscommon, Leitrim, Cavan) and Tir Fiachrach, the territory of the Firbolg tribe the Fir Domnann in the valley of the Moy (Co.

00Somewhat later south Connaught was similarly wrested from the older race and colonized by descendants of Brian and Fiachra, later known as Ui Fiachrach Aidni and Ui Briuin Seola.

00But Philip in his turn nearly allowed himself to be led into an attempt at annexing England, and so reversing for his own benefit the work of the Angevins (1213); but, happily for the future of the dynasty, Pope Innocent UI.

00Height fall in ui feet.

00Some will spend weeks only testing the UI - the menus, game save, and game load functions.

00TouchWiz UI: For both its Android smartphones and its touchscreen-equipped feature phones, Samsung uses a special user interface skin called TouchWiz.

00Other reviews are much more glowing, saying that the DROID Eris has "so many features" and that it comes with a "very nice UI."

00

The word usage examples above have been gathered from various sources to reflect current and historial usage. They do not represent the opinions of YourDictionary.com.